Apply the distributive property to factor out the greatest common factor.
30+42= equals

72

Step-by-step explanation:

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here we have the sum 30 + 42, and we want to factor the greatest common factor between 30 and 42.

We can try to go one for one, the biggest divisor of 30 is 15 (15*2 = 30), and 15 is not a divisor of 42, so this is not a common divisor of 30 and 42.

The second biggest divisor of 30 is 10 (10*3 = 30), and 10 is not a divisor of 42, so it is not a common divisor of 30 and 42.

the third biggest divisor of 30 is 6, (6*5 = 30) and 6 is a divisor of 42 (6*7 = 42)

then 6 is the biggest common factor of both 30 and 42

Now we can factor the sum as:

30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

1; 35 is the ratio

step-by-step explanation: